Products of power with the same base
Power of a reciprocal
LCM
GCD
Power to a power
100

What is 3x 32?

81

100

What is the reciprocal of       5-2?

25

100

What is the LCM of 2 and 4?

4

100

What is the GCD of 52 and 65?

13

100

What is (32)2?

81

200

One day, Robert was at a birthday party and he ate 3-1 x 3-1 of the cake at the birthday party. In the simplest form, what fraction of the cake did he eat?

1/9

200

What is the square root of 1234567892?

123456789

200

One day, Joe and Bob were picking apples. Joe wanted to have a multiple of 5 apples and Bob wanted to have a multiple of 9 apples. What is the least number of apples they could have plucked and still being a multiple of the number of apples each of them wants?

45

200

One day, Brittany was on a trip to Orlando. She was on the plane when she said to her dad: "Since it is mom's birthday that I am going to make the GCD of 136 and 289 presents for mom". In simplest form, how many presents is she going to make for her mom? 

17

200

What is (099999999999999)+1?

1

300

One day, Timmy was playing basketball and he was just shooting hoops. He scored 2x 21 hoops out of the 10 hoop shots. His friend, Betty scored 2x 398473928740 hoops. How many hoops was the product of the number of hoops each of them shot?

16

300

What is the reciprocal of       5-2 x 625?

1/25

300

What is the LCM of 8 and 22?

88

300

What is the GCD of 114 and 152?

19

300

What is ((((52)2)1)1)1?

625

400

What is 1010 x 10-3?

10000000

400

One day, Beth was at a play date with her 9 friends. They got to split a cookie that had a height of 2 feet. Two whole feet! When they split the cookie, they wanted to do math. Rebecca, her first friend said "I want to eat the reciprocal of 23 of the cookie". Joanna said since she was full that she was going to eat the reciprocal of 25 of the cookie. Beth said she would eat the reciprocal of 32 of the cookie. In simplest form, how much cookie is left after Rebecca, Joanna and Beth ate the cookie?

211/288

400

What is the LCM of 52 and 26 and 2 and 13 and 15?

780

400

What is the GCD of 4096 and 19683?

1

400

 One day, Tom was shopping at the supermarket. He bought 21 apples, 22 lemons, 23 limes, 24 strawberries, 25 durians, 26 oranges, and 27grapes. In total how many total fruits did he buy (apples, lemons, limes, strawberries, durians, oranges and grapes)?

254

500

What is 16-2 x 16-1?

1/4096

500

What is the reciprocal of ((63)+(42)+(82)+(22)+(102)+(102))?

1/500

500

One day, Richard, his sister, their mom and dad were arguing about how many blueberries they should buy. Richard likes to put his blueberries into smiley faces, which the smile is six blueberries and the eyes are four blueberry for each eye so he wants them to have a multiple of fourteen blueberries to eat. His sister likes to make rows of twenty-one blueberries and eat them row by row, so she says the number of blueberries has to be a multiple of twenty-one. Their mom is an artist, so she likes to make hers in a pretty little rainbow and in rows of four little lines. Their dad likes to juggle seven blueberries, so he says it has to be a multiple of seven blueberries. Because all of the people in the family want to save money, they don't want to eat too many blueberries. Additionally, they don't want to be too full. They want to have the least number of blueberries that still meet the least multiple of blueberries that Richard, his sister, their mom and dad want. What is the least number of blueberries they should buy to meet all their criterion?

1176

500

What is the GCD of 27776 and 21391?

31

500

What is(5320)x(252)+(123456789)2+(3x4)2?

123,457,558

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